Differential Equations and Linear Algebra, 3rd Edition

 

1. First-Order Differential Equations

2. Matrices and Systems of Linear Equations

3. Determinants

4. Vector Spaces

5. Linear Transformation

6. Linear Differential Equations of Order n

7. Systems of Differential Equations

8. The Laplace Transform and Some Elementary Applications

9. Series Solutions to Linear Differential Equations

Appendices

A. Review of Complex Numbers

B. Review of Partial Fractions

C. Review of Integration Techniques

D. Linearly Independent Solutions to x²yⁿ + xp(x)y¹ + q(x)y = 0

E. Answers to Odd-Numbered Exercises